Greatest Common Factor of 8684/218, 8748/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8684/218, 8748/617

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8684/218,8748/617

Given fractions are 8684/218,8748/617

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8684,8748

Greatest Common Factor of Numerators i.e. GCF of 8684,8748 is 4 .

LCM of Denominators means LCM of 218,617 as per the given fractions.

LCM of 218,617 is 134506 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8684,8748

GCF of Fractions 8684/218,8748/617 is 4/134506

2 8684, 8748
2 4342, 4374
2171, 2187

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8684,8748 By Matching Biggest Common Factor Method

Greatest Common Factor of 8684,8748 By Matching Biggest Common Factor Method

Factors of 8684

List of positive integer factors of 8684 that divides 8684 without a remainder.

1,2,4,13,26,52,167,334,668,2171,4342,8684

Factors of 8748

List of positive integer factors of 8748 that divides 8748 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2187,2916,4374,8748

Greatest Common Factor

We found the factors 8684,8748 . The biggest common factor number is the GCF number.
So the greatest common factor 8684,8748 is 4.

Lets's calculate LCM of 218,617

Given numbers has no common factors except 1. So, there LCM is their product i.e 134506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/134506

Therefore, the GCF of Fractions 8684/218,8748/617 is 4/134506

Least Common Multiple of 218,617 with GCF Formula

Least Common Multiple of 218,617 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 218,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,617) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(218,617) x common factors =1 x 1 = 1

LCM(218,617) = ( 218 × 617 ) / 1

LCM(218,617) = 134506 / 1

LCM(218,617) = 134506


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8684/218, 8748/617

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8684/218, 8748/617?

Answer: GCF of Numerators as per given numbers 8684/218, 8748/617 is

GCF of Numerators i.e. for 8684,8748 is 4

LCM of denominators i.e. for 218,617 is 134506.

Thus, GCF of Fractions is 4/134506.Finally, GCF of Fractions for 8684/218, 8748/617 is 4/134506.